Best Known (120, 120+56, s)-Nets in Base 3
(120, 120+56, 162)-Net over F3 — Constructive and digital
Digital (120, 176, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 88, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
(120, 120+56, 330)-Net over F3 — Digital
Digital (120, 176, 330)-net over F3, using
(120, 120+56, 5609)-Net in Base 3 — Upper bound on s
There is no (120, 176, 5610)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 944065 152278 243337 393816 800584 967446 068561 609355 566037 434727 583366 454345 777418 025241 > 3176 [i]